Common Maclaurin Series Flashcards

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Questions and Answers

Qual es le definition de sin(x)?

  • Functión trigonometric (correct)
  • Ninguno
  • Serie de Maclaurin (correct)
  • Expansión Binomial

Qual es le definition de cos(x)?

  • Functión trigonometric (correct)
  • Ninguno
  • Expansión Binomial
  • Serie de Maclaurin (correct)

Qual es le formula pro le Expansion Binomial (1+x)^k?

1 + kx + [k(k-1)x^2]/2! + [k(k-1)(k-2)]/3!

Qual es le definition de le serie de Maclaurin pro e^x?

<p>Expansión exponente (B)</p> Signup and view all the answers

Qual es le resultado de 1/(1-x)?

<p>x^n</p> Signup and view all the answers

Qual es le definition de ln(1+x)?

<p>Serie de Maclaurin (A), Functión logaritmic (C)</p> Signup and view all the answers

Qual es le definition de arctan(x)?

<p>Serie de Maclaurin (A), Functión trigonometric (B)</p> Signup and view all the answers

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Study Notes

Series de Maclaurin Comunes

  • sin(x):

    • Series de Maclaurin: x - x^3/3! + x^5/5! - x^7/7! + ...
  • cos(x):

    • Series de Maclaurin: 1 - x^2/2! + x^4/4! - x^6/6! + ...
  • Expansione Binomial (1+x)^k:

    • Formula: 1 + kx + [k(k-1)x^2]/2! + [k(k-1)(k-2)x^3]/3! + ...
  • Series de Maclaurin para e^x:

    • Formula: 1 + x + x^2/2! + x^3/3! + x^4/4! + ...
  • 1/(1-x):

    • Series de Maclaurin: x^n donde n es un numero natural.
  • ln(1+x):

    • Series de Maclaurin: x - x^2/2 + x^3/3 - x^4/4 + ...
  • arctan(x):

    • Series de Maclaurin: x - x^3/3 + x^5/5 - x^7/7 + ...

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